Fuzzy Measure Theory
Power-transformed-measure and its Choquet integral regression model
ACS'07 Proceedings of the 7th Conference on 7th WSEAS International Conference on Applied Computer Science - Volume 7
Stroke order computer-based assessment with fuzzy measure scoring
WSEAS Transactions on Information Science and Applications
Applying a complexity-based Choquet integral to evaluate students' performance
Expert Systems with Applications: An International Journal
Theory of multivalent delta-fuzzy measures and its application
WSEAS Transactions on Information Science and Applications
Composed fuzzy measure of maximized L-measure and delta-measure
WSEAS Transactions on Information Science and Applications
A novel fuzzy measure and its extensional signed fuzzy measure
ISTASC'10 Proceedings of the 10th WSEAS international conference on Systems theory and scientific computation
An extensional signed fuzzy measure of signed Rho-fuzzy measure
ICCCI'10 Proceedings of the Second international conference on Computational collective intelligence: technologies and applications - Volume PartI
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The well known fuzzy measures, λ-measure and P-measure, have only one formulaic solution. Two multivalent fuzzy measures with infinitely many solutions were proposed by our previous works, called L-measure and δ-measure, but the former do not include the additive measure as the latter and the latter has not so many measure solutions as the former. Due to the above drawbacks, in this paper, an improved fuzzy measure composed of above both, denoted Lδ -measure, is proposed. For evaluating the Choquet integral regression models with our proposed fuzzy measure and other different ones, a real data experiment by using a 5-fold cross-validation mean square error (MSE) is conducted. The performances of Choquet integral regression models with fuzzy measure based Lδ -measure, L-measure, δ-measure, λ-measure, and P-measure, respectively, a ridge regression model, and a multiple linear regression model are compared. Experimental result shows that the Choquet integral regression models with respect to extensional L-measure based on γ-support outperforms others forecasting models.